$\sqrt{53+20\sqrt{7}}$ can be written in the form $a+b\sqrt{c}$, where $a,$ $b,$ and $c$ are integers and $c$ has no factors which is a perf

 can be written in the form , where   and  are integers and  has no factors which is a perfect square of any positive integer other than 1. Find .$a+b+c$